Completely monotone families of solutions of -th order linear differential equations and infinitely divisible distributions
Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain.
Complex centers of polynomial differential equations.
Complex dynamical systems and the geometry of domains in Banach spaces [Book]
Complex dynamical systems on bounded symmetric domains.
Complex one-frequency cocycles
We show that on a dense open set of analytic one-frequency complex valued cocycles in arbitrary dimension Oseledets filtration is either dominated or trivial. The underlying mechanism is different from that of the Bochi-Viana Theorem for continuous cocycles, which links non-domination with discontinuity of the Lyapunov exponent. Indeed, in our setting the Lyapunov exponents are shown to depend continuously on the cocycle, even if the initial irrational frequency is allowed to vary. On the other...
Complex Oscillation of Differential Polynomials Generated by Meromorphic Solutions of Linear Differential Equations
Complex oscillation of entire solutions of higher-order linear differential equations.
Complex Oscillation Theory of Differential Polynomials
In this paper, we investigate the relationship between small functions and differential polynomials , where , , are entire functions that are not all equal to zero with
Complex Oscillations and Limit Cycles in Autonomous Two-Component Incommensurate Fractional Dynamical Systems
MSC 2010: 26A33, 34D05, 37C25In the paper, long-time behavior of solutions of autonomous two-component incommensurate fractional dynamical systems with derivatives in the Caputo sense is investigated. It is shown that both the characteristic times of the systems and the orders of fractional derivatives play an important role for the instability conditions and system dynamics. For these systems, stationary solutions can be unstable for wider range of parameters compared to ones in the systems with...
Complicated dynamics in nonautonomous ODEs.
Composition of pseudo almost periodic functions and Cauchy problems with operator of non dense domain
Composition theorems of Stepanov almost periodic functions and Stepanov-like pseudo-almost periodic functions.
Computable error bounds for collocation methods.
Computable error bounds with improved applicability conditions for collocation methods.
Computation of Green's matrices for boundary value problems associated with a pair of mixed linear regular ordinary differential operators.
Computation of topological degree in ordered Banach spaces with lattice structure and applications
Using the cone theory and the lattice structure, we establish some methods of computation of the topological degree for the nonlinear operators which are not assumed to be cone mappings. As applications, existence results of nontrivial solutions for singular Sturm-Liouville problems are given. The nonlinearity in the equations can take negative values and may be unbounded from below.
Computationally efficient technique for solving ODE systems exhibiting initial and boundary layers.
Computing eigenvalues of regular Sturm-Liouville problems.
Computing generalized inverse systems using matrix pencil methods
We address the numerically reliable computation of generalized inverses of rational matrices in descriptor state-space representation. We put particular emphasis on two classes of inverses: the weak generalized inverse and the Moore-Penrose pseudoinverse. By combining the underlying computational techniques, other types of inverses of rational matrices can be computed as well. The main computational ingredient to determine generalized inverses is the orthogonal reduction of the system matrix pencil...